Square rstu dilates by a factor of 1/2 with respect to the origin to create square r’s’t’u. if r’s is 2units what is rs

We are given square RSTU dilates by a factor of 1/2 and we get R’S’T’U. as dilated square.

Dilation is the becoming or being made smaller or larger by multiplying by a factor.

RSTU dilates by a factor of 1/2. That mean each side of the dilated square R’S’T’U would be 1/2 (half) of the original square RSTU.

In other way, if we say " Sides of square RSTU would be two times of sides of square R’S’T’U".

We are given side R'S' = 2 units.

So, the side RS = two times R'S' = 2*2 = 4 units.

Therefore, If R’S' is 2units RS would be equals to 4 units.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x